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A=1000\left(1+\frac{8}{200}\right)^{2\times 4}
Expand \frac{0.08}{2} by multiplying both numerator and the denominator by 100.
A=1000\left(1+\frac{1}{25}\right)^{2\times 4}
Reduce the fraction \frac{8}{200} to lowest terms by extracting and canceling out 8.
A=1000\times \left(\frac{26}{25}\right)^{2\times 4}
Add 1 and \frac{1}{25} to get \frac{26}{25}.
A=1000\times \left(\frac{26}{25}\right)^{8}
Multiply 2 and 4 to get 8.
A=1000\times \frac{208827064576}{152587890625}
Calculate \frac{26}{25} to the power of 8 and get \frac{208827064576}{152587890625}.
A=\frac{1670616516608}{1220703125}
Multiply 1000 and \frac{208827064576}{152587890625} to get \frac{1670616516608}{1220703125}.